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Finding the Fourth Proportional to 77,679.64, 116,445.64 and 49,520.65

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Solution

The fourth proportional to 77,679.64, 116,445.64 and 49,520.65 is: 74,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679.64 : 116,445.64 = 49,520.65 : x
  2. Step 2: Convert to fraction form
    77,679.64/116,445.64 = 49,520.65/x
  3. Step 3: Cross multiply
    77,679.64x = 116,445.64 × 49,520.65
  4. Step 4: Simplify right side
    77,679.64x = 5,766,463,782.47
  5. Step 5: Solve for x
    x = 5,766,463,782.47/77,679.64
  6. Step 6: Final answer
    x = 74,233.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.